238393600 has 81 divisors (see below), whose sum is σ = 593134563. Its totient is φ = 94863360.

The previous prime is 238393579. The next prime is 238393609. The reversal of 238393600 is 6393832.

The square root of 238393600 is 15440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38340864 + 200052736 = 6192^2 + 14144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238393609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1235104 + ... + 1235296.

Almost surely, 2^238393600 is an apocalyptic number.

238393600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

238393600 is the 15440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238393600

238393600 is an abundant number, since it is smaller than the sum of its proper divisors (354740963).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238393600 is an frugal number, since it uses more digits than its factorization.

238393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The cubic root of 238393600 is about 620.0568799706.

The spelling of 238393600 in words is "two hundred thirty-eight million, three hundred ninety-three thousand, six hundred".